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Edwin needs to buy a car, a truck, and a motorcycle for his shipping business. He wants the car to be red or yellow; the truck to be black, white, or silver; and the motorcycle to be green, blue, or orange.
How many different combinations of vehicles does Edwin have to choose from?

Edwin needs to buy a car, a truck, and a motorcycle for his shipping business. He wants the car to be red or yellow; the truck to be black, white, or silver; and the motorcycle to be green, blue, or orange. $\newline$ How many different combinations of vehicles does Edwin have to choose from?

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Counting principle

Full solution

Q. Edwin needs to buy a car, a truck, and a motorcycle for his shipping business. He wants the car to be red or yellow; the truck to be black, white, or silver; and the motorcycle to be green, blue, or orange.

\newline

How many different combinations of vehicles does Edwin have to choose from?

Car Choices: For the car, Edwin has $2$ choices: red or yellow.
Truck Choices: For the truck, Edwin has $3$ choices: black, white, or silver.
Motorcycle Choices: For the motorcycle, Edwin has $3$ choices: green, blue, or orange.
Calculate Total Combinations: To find the total combinations, multiply the number of choices for each vehicle. $\newline$ Total combinations = Number of car choices $\times$ Number of truck choices $\times$ Number of motorcycle choices
Multiply Choices: Total combinations = $2$ (for the car) $\times$ $3$ (for the truck) $\times$ $3$ (for the motorcycle)
Calculate Total: Total combinations = $2 \times 3 \times 3$
Final Calculation: Total combinations = $6 \times 3$
Total Combinations: Total combinations = $18$

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